Artículo
Cortiñas, G. "An explicit formula for PBW quantization" (2002) Communications in Algebra. 30(4):1705-1713
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Abstract:
Let k be a field of characteristic zero, g a k-Lie algebra, e : Sg → Ug the symmetrization map. The PBW quantization is the one parameter family of associative products: x *t y = ∑p=0∞ Bp(x, y) tp (t ∈ k) where Bp is the homogeneous component of degree -p of the map B: Sg ⊗k Sg → Sg, B(x, y) = e-1 (exey). In this paper we give an explicit formula for B. As an application, we prove that for each p ≥ 0, Bp is a bidifferential operator of order ≤ p.
Registro:
| Documento: | Artículo |
| Título: | An explicit formula for PBW quantization |
| Autor: | Cortiñas, G. |
| Filiación: | Departamento de Matemática, Facultad de cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina |
| Año: | 2002 |
| Volumen: | 30 |
| Número: | 4 |
| Página de inicio: | 1705 |
| Página de fin: | 1713 |
| DOI: | http://dx.doi.org/10.1081/AGB-120013210 |
| Título revista: | Communications in Algebra |
| Título revista abreviado: | Commun. Algebra |
| ISSN: | 00927872 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v30_n4_p1705_Cortinas |
Referencias:
- Ginzburg, V., Method of orbits in the representation theory of complex lie groups (1981) Funct. Anal. Appl., 15, pp. 18-28
- Bayen, F., Flato, M., Fronsdal, C., Lichnerowicz, A., Sternheimer, D., Deformation theory and quantization. I - Deformations of symplectic structures (1978) Annals of Physics, 111, pp. 61-110
- Kathotia, V., Konstevich's Universal Formula for Deformation Quantization and the Campbell-Baker-Hausdorff Formula I, , Math. QA/9811174 v2
- Serre, J.P., Lie algebras and lie groups, 2nd Edn. (1992) Lecture Notes in Mathematics, 1500. , Springer-Verlag: Berlin New York
Citas:
---------- APA ----------
(2002) . An explicit formula for PBW quantization. Communications in Algebra, 30(4), 1705-1713.http://dx.doi.org/10.1081/AGB-120013210
---------- CHICAGO ----------
Cortiñas, G. "An explicit formula for PBW quantization" . Communications in Algebra 30, no. 4 (2002) : 1705-1713.http://dx.doi.org/10.1081/AGB-120013210
---------- MLA ----------
Cortiñas, G. "An explicit formula for PBW quantization" . Communications in Algebra, vol. 30, no. 4, 2002, pp. 1705-1713.http://dx.doi.org/10.1081/AGB-120013210
---------- VANCOUVER ----------
Cortiñas, G. An explicit formula for PBW quantization. Commun. Algebra. 2002;30(4):1705-1713.http://dx.doi.org/10.1081/AGB-120013210
